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2332570240 = 275711213331
BaseRepresentation
bin1000101100001000…
…0011001010000000
320000120010211211101
42023002003022000
514234114221430
61023243024144
7111542343220
oct21302031200
96016124741
102332570240
11a97747600
1255120b054
132b2339ca0
14181b0a080
15d9ba6dca
hex8b083280

2332570240 has 384 divisors, whose sum is σ = 7566572160. Its totient is φ = 669081600.

The previous prime is 2332570189. The next prime is 2332570309. The reversal of 2332570240 is 420752332.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2332570199 and 2332570208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7046875 + ... + 7047205.

It is an arithmetic number, because the mean of its divisors is an integer number (19704615).

Almost surely, 22332570240 is an apocalyptic number.

2332570240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2332570240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3783286080).

2332570240 is an abundant number, since it is smaller than the sum of its proper divisors (5234001920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2332570240 is a wasteful number, since it uses less digits than its factorization.

2332570240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 28.

The square root of 2332570240 is about 48296.6897416376. The cubic root of 2332570240 is about 1326.2077967704.

The spelling of 2332570240 in words is "two billion, three hundred thirty-two million, five hundred seventy thousand, two hundred forty".